Answer:
[tex]x=5[/tex]
Step-by-step explanation:
From the given segments, we can deduce that B is between C and D. Thus, BD plus BC must equal CD. In an equation:
[tex]CD=BD+BC[/tex]
Substitute equations:
[tex]5x-9=(7x-10)+(4x-29)[/tex]
Combine like terms on the right:
[tex]5x-9=(11x-39)[/tex]
Subtract 11x from both sides:
[tex]-6x-9=-39[/tex]
Add 9 to both sides:
[tex]-6x=-30[/tex]
Divide both sides by -6:
[tex]x=5[/tex]
So, the value of x is 5.
And we're done!
